{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T07:26:18Z","timestamp":1649143578886},"reference-count":6,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T00:00:00Z","timestamp":1548979200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s11424-019-8344-4","type":"journal-article","created":{"date-parts":[[2019,2,14]],"date-time":"2019-02-14T00:53:25Z","timestamp":1550105605000},"page":"47-61","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Hilbert Problem 15 and Ritt-Wu Method (I)"],"prefix":"10.1007","volume":"32","author":[{"given":"Banghe","family":"Li","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,14]]},"reference":[{"key":"8344_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-67228-6","volume-title":"Kalk\u00fcl der abz\u00e4hlenden Geometrie","author":"H Schubert","year":"1979","unstructured":"Schubert H, Kalk\u00fcl der abz\u00e4hlenden Geometrie, Springer-Verlag, 1979."},{"key":"8344_CR2","unstructured":"Van der Waerden, Einfuehrung in die algebraische Geometrie, Verlag von Julius Springer, 1973, A Chinese translation has been published by Science Press in China in 2008."},{"key":"8344_CR3","volume-title":"Foundation of Algebraic Geometry","author":"A Weil","year":"1962","unstructured":"Weil A, Foundation of Algebraic Geometry, published by American Mathematical Society, 1946 and 1962."},{"key":"8344_CR4","first-page":"67","volume-title":"Proc. of the 4th Asian Symposium","author":"D K Wang","year":"2000","unstructured":"Wang D K, Zero decomposition algorithms for system of polynomial equations, Proc. of the 4th Asian Symposium, Computer Mathematics, 2000, 67\u201370."},{"key":"8344_CR5","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/BF01840382","volume":"5","author":"S C Chou","year":"1990","unstructured":"Chou S C, Schelter W F, and Yang J G, An algorithm for constructing gr\u00f6bner bases from characteristic sets and its application to geometry, Algorithmica, 1990, 5: 147\u2013154.","journal-title":"Algorithmica"},{"issue":"6","key":"8344_CR6","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1016\/0167-8396(92)90045-Q","volume":"9","author":"D M Wang","year":"1992","unstructured":"Wang D M, Irreducible decomposition of algebraic varieties via characteristic set and Gr\u00f6bner bases, Computer Aided Geometric Design, 1992, 9(6): 471\u2013484.","journal-title":"Computer Aided Geometric Design"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-019-8344-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8344-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8344-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,13]],"date-time":"2020-02-13T19:04:32Z","timestamp":1581620672000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-019-8344-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["8344"],"URL":"https:\/\/doi.org\/10.1007\/s11424-019-8344-4","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2]]},"assertion":[{"value":"15 September 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 October 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 February 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}